The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?

8.06 cu. in.

10.75 cu. in.

21.5 cu. in.

32.25 cu. in.

Question

Sophie Parks

Mathematics

7 November, 05:11

The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?

8.06 cu. in.

10.75 cu. in.

21.5 cu. in.

32.25 cu. in.

+1

Answers (1)

Know the Answer?

Cailyn Foley · Answer 1

Since the volume of a cylinder is hπr^2 and the volume of a cone is (hπr^2) / 3, the volume of the cone will just be 1/3 the volume of the cylinder with the same radius and height. In this case:

V=32.25/3=10.75 in^3

The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?8.06 cu. in.10.75 cu. in.21.5 cu. in.32.25 cu. in.

The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?

8.06 cu. in.

10.75 cu. in.

21.5 cu. in.

32.25 cu. in.